Question

3 min )
(c). Simplify and express the result in the form of (a + ib),
(2 +3i)^2
(2-i)
​

Answer 1

Answer:

(2+3i)²(2-i)

(2²+(3i) ²+2.2.3i)(2-i)

(4+9i²+12i) (2-i)

(4-9+12i)(2-i)

(-5+12i)(2-i)

-10+5i+24i-12i²

-10+29i+12

2+29i

comparing with (a+ib)

we get a=2 and b=29